5201095680 has 528 divisors, whose sum is σ = 20355499008. Its totient is φ = 1216512000.

The previous prime is 5201095673. The next prime is 5201095703. The reversal of 5201095680 is 865901025.

It is a happy number.

5201095680 is a `hidden beast` number, since 520 + 1 + 0 + 9 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15713115 + ... + 15713445.

Almost surely, 2^5201095680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177749504).

5201095680 is an abundant number, since it is smaller than the sum of its proper divisors (15154403328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5201095680 is a wasteful number, since it uses less digits than its factorization.

5201095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5201095680 is about 72118.6222830137. The cubic root of 5201095680 is about 1732.5998842983.

The spelling of 5201095680 in words is "five billion, two hundred one million, ninety-five thousand, six hundred eighty".